45982580 has 48 divisors (see below), whose sum is σ = 112627200. Its totient is φ = 15763104.

The previous prime is 45982577. The next prime is 45982583. The reversal of 45982580 is 8528954.

It is an interprime number because it is at equal distance from previous prime (45982577) and next prime (45982583).

It is a super-2 number, since 2×45982580² = 4228795326912800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45982583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3509 + ... + 10211.

It is an arithmetic number, because the mean of its divisors is an integer number (2346400).

Almost surely, 2^45982580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45982580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56313600).

45982580 is an abundant number, since it is smaller than the sum of its proper divisors (66644620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45982580 is a wasteful number, since it uses less digits than its factorization.

45982580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6733 (or 6717 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 41.

The square root of 45982580 is about 6781.0456420821. The cubic root of 45982580 is about 358.2595519026.

The spelling of 45982580 in words is "forty-five million, nine hundred eighty-two thousand, five hundred eighty".